40203440640 has 1280 divisors, whose sum is σ = 172531814400. Its totient is φ = 8831877120.

The previous prime is 40203440639. The next prime is 40203440657. The reversal of 40203440640 is 4604430204.

It is a tau number, because it is divible by the number of its divisors (1280).

It is a hoax number, since the sum of its digits (27) coincides with the sum of the digits of its distinct prime factors.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is an unprimeable number.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 1747975669 + ... + 1747975691.

It is an arithmetic number, because the mean of its divisors is an integer number (134790480).

Almost surely, 2^40203440640 is an apocalyptic number.

40203440640 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 40203440640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (86265907200).

40203440640 is an abundant number, since it is smaller than the sum of its proper divisors (132328373760).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

40203440640 is a wasteful number, since it uses less digits than its factorization.

40203440640 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 107 (or 63 counting only the distinct ones).

The product of its (nonzero) digits is 9216, while the sum is 27.

Adding to 40203440640 its reverse (4604430204), we get a palindrome (44807870844).

The spelling of 40203440640 in words is "forty billion, two hundred three million, four hundred forty thousand, six hundred forty".